FUNCTION AND RANGE_GRADE 8_ADVANCE MATH.ppt

MATH 8

1. Warm Up
Determine the domain and range for each Determine the domain and range for each
relation. Tell me if it’s a function or not a functionrelation. Tell me if it’s a function or not a function
xx––22––11001122
yy3311––11––33––55
{(0, 1), (1, 2), (1, 3), (2, 4)}{(0, 1), (1, 2), (1, 3), (2, 4)}

2. More on More on
FunctionFunction
ss

3. Learning Learning
Objectives:Objectives:
After the discussion, you should After the discussion, you should
be able to:be able to:
1.1.Identifies a function through Identifies a function through
its domain and range.its domain and range.
2.2.Uses vertical line test in Uses vertical line test in
examining if a given relation is examining if a given relation is
a function or not.a function or not.

4. The Vertical Line The Vertical Line
TestTest
The vertical line test is used The vertical line test is used
to determine if a graph is a to determine if a graph is a
function.function.

5. If a vertical line passes through a graph If a vertical line passes through a graph
more than once, the graph is not the graph more than once, the graph is not the graph
of a function.of a function.
The pencil The pencil
crosses the crosses the
graph more graph more
than once. than once.
This is not a This is not a
function function
because because
there are two there are two
y-values for y-values for
the same x-the same x-
value.value.

12. (-3,3)
(4,4)
(1,1)
(1,-2)
Use the vertical line test to visually check
if the relation is a function.
Function?
No, Two points are on the
same vertical line.

13. (-3,3)
(4,-2)
(1,1)
(3,1)
Use the vertical line test to visually check
if the relation is a function.
Function?
Yes, no two points are on the
same vertical line

14. Plot:(-3,5)(-4,-2)(4,3)(3,-4)
(-3,5)
(-4,-2)
(4,3)
(3,-4)